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Finding the Fourth Proportional to 431.78, 595.88 and 245.27

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Solution

The fourth proportional to 431.78, 595.88 and 245.27 is: 338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.78 : 595.88 = 245.27 : x
  2. Step 2: Convert to fraction form
    431.78/595.88 = 245.27/x
  3. Step 3: Cross multiply
    431.78x = 595.88 × 245.27
  4. Step 4: Simplify right side
    431.78x = 146,149.53
  5. Step 5: Solve for x
    x = 146,149.53/431.78
  6. Step 6: Final answer
    x = 338.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.